Least Common Multiple of 737/489, 125/168, 660/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 737/489, 125/168, 660/800 quickly i.e. 1105500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 737/489, 125/168, 660/800 is 1105500.

LCM(737/489, 125/168, 660/800) = 1105500

LCM of 737/489, 125/168, 660/800

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 737/489,125/168,660/800

Given numbers are 737/489,125/168,660/800

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 737,125,660

Least Common Multiple of Numerators i.e. LCM of 737,125,660 is 1105500.

GCF of Denominators means GCF of 489,168,800 as per the given fractions.

GCF of 489,168,800 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 737,125,660

LCM of Fractions 737/489,125/168,660/800 is 1105500

5 737, 125, 660
11 737, 25, 132
67, 25, 12

∴ So the LCM of the given numbers is 5 x 11 x 67 x 25 x 12 = 1105500

Least Common Multiple of 737,125,660 with GCF Formula

Least Common Multiple of 737,125,660 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 737,125,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(737,125,660) = 1

common factors(in case of two or more numbers have common factors) = 55

GCF(737,125,660) x common factors =1 x 55 = 55

LCM(737,125,660) = ( 737 × 125 × 660 ) / 55

LCM(737,125,660) = 60802500 / 55

LCM(737,125,660) = 1105500


Lets's calculate GCF of 489,168,800

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1105500/1

Therefore the LCM of Fractions 737/489,125/168,660/800 is 1105500

Greatest Common Factor of 489,168,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,168,800 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 489,168,800 . The biggest common factor number is the GCF number.
So the greatest common factor 489,168,800 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 737/489, 125/168, 660/800

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 737/489, 125/168, 660/800?

Answer: LCM of Numerators as per given numbers 737/489, 125/168, 660/800 is

LCM of Numerators i.e. for 737,125,660 is 1105500

GCF of denominators i.e. for 489,168,800 is 1.

Thus, LCM of Fractions is 1105500.Finally, LCM of Fractions for 737/489, 125/168, 660/800 is 1105500.